시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 126 72 69 63.303%

문제

다트판은 평평한 판과 동심원이 그려진 원형 코르크로 만든다. 사람들은 다트를 다트판에서 가장 중심에 있는 원(불스아이)을 향해 던진다.

다트판의 각 고리에는 점수가 적혀있고, 중심에 가까울수록 점수가 높다.

각 고리의 반지름은 3cm, 6cm, 9cm, 12cm, 15cm이다. (따라서, 불스아이의 지름은 6cm) 간단한 다트게임은 두 플레이어가 게임을 하며, 다음과 같이 플레이한다.

첫 번째 플레이어가 다트 3개를 다트판에 던진다. 다트가 맞춘 영역의 점수의 합이 그 플레이어의 점수가 된다. 첫 번째 플레이어가 던진 다트를 다트판에서 모두 제거한다. 두 번째 플레이어가 다트 3개를 다트판에 던진 뒤, 점수를 계산한다. 높은 점수를 얻은 플레이어가 이긴다.

두 플레이어의 점수를 계산한 뒤, 누가 이기는지를 구하는 프로그램을 작성하시오. 만약 다트가 경계에 걸쳐있다면, 높은 점수를 얻은 것이다. 다트가 다트판 밖을 맞춘다면, 점수를 얻지 못한다. Double precision floating point 연산을 사용하면 된다.

입력

첫재 줄에 테스트 케잇의 개수가 주어진다.. 각 테스트 케이스는 한 줄에 12개의 실수(double-precision 값)가 있다. 각 쌍은 중심과 다트의 거리이고, x, y거리 순서이고 단위는 cm이다.  처음 3개의 수는 첫 번째 플레이어가 던진 다트이고, 다음 3개는 두번재 플레이어가 던진 것이다. (-20.0 ≤ X,Y ≤ 20.0)

출력

각 테스트 케이스에 대해서, 게임을 이긴 사람이 있다면 다음과 같은 형식으로 출력한다.

SCORE: N to M, PLAYER P WINS.

만약, 비겼다면

SCORE: N to M, TIE.

를 출력한다.

N은 첫 번째 플레이어의 점수, M은 두 번째 플레이어의 점수이고, P는 게임을 승리한 사람의 번호 1 또는 2이다. 모든 값은 음이아닌 정수이다.

예제 입력 1

2
-9 0 0 -4.5 -2 2 9 0 0 4.5 2 -2
-19.0 19.0 0 0 0 0 3 3 6 6 12 12

예제 출력 1

SCORE: 240 to 240, TIE.
SCORE: 200 to 140, PLAYER 1 WINS.
[{"problem_id":"2756","problem_lang":"0","title":"\ub2e4\ud2b8","description":"<p>\ub2e4\ud2b8\ud310\uc740 \ud3c9\ud3c9\ud55c \ud310\uacfc \ub3d9\uc2ec\uc6d0\uc774 \uadf8\ub824\uc9c4 \uc6d0\ud615 \ucf54\ub974\ud06c\ub85c \ub9cc\ub4e0\ub2e4. \uc0ac\ub78c\ub4e4\uc740 \ub2e4\ud2b8\ub97c \ub2e4\ud2b8\ud310\uc5d0\uc11c \uac00\uc7a5 \uc911\uc2ec\uc5d0 \uc788\ub294 \uc6d0(\ubd88\uc2a4\uc544\uc774)\uc744 \ud5a5\ud574 \ub358\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\ud2b8\ud310\uc758 \uac01 \uace0\ub9ac\uc5d0\ub294 \uc810\uc218\uac00 \uc801\ud600\uc788\uace0, \uc911\uc2ec\uc5d0 \uac00\uae4c\uc6b8\uc218\ub85d \uc810\uc218\uac00 \ub192\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dart.png\" style=\"height:216px; width:249px\" \/><\/p>\r\n\r\n<p>\uac01 \uace0\ub9ac\uc758 \ubc18\uc9c0\ub984\uc740 3cm, 6cm, 9cm, 12cm, 15cm\uc774\ub2e4. (\ub530\ub77c\uc11c, \ubd88\uc2a4\uc544\uc774\uc758 \uc9c0\ub984\uc740 6cm) \uac04\ub2e8\ud55c \ub2e4\ud2b8\uac8c\uc784\uc740 \ub450 \ud50c\ub808\uc774\uc5b4\uac00 \uac8c\uc784\uc744 \ud558\uba70, \ub2e4\uc74c\uacfc \uac19\uc774 \ud50c\ub808\uc774\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uccab \ubc88\uc9f8 \ud50c\ub808\uc774\uc5b4\uac00 \ub2e4\ud2b8 3\uac1c\ub97c \ub2e4\ud2b8\ud310\uc5d0 \ub358\uc9c4\ub2e4. \ub2e4\ud2b8\uac00 \ub9de\ucd98 \uc601\uc5ed\uc758 \uc810\uc218\uc758 \ud569\uc774 \uadf8 \ud50c\ub808\uc774\uc5b4\uc758 \uc810\uc218\uac00 \ub41c\ub2e4. \uccab \ubc88\uc9f8 \ud50c\ub808\uc774\uc5b4\uac00 \ub358\uc9c4 \ub2e4\ud2b8\ub97c \ub2e4\ud2b8\ud310\uc5d0\uc11c \ubaa8\ub450 \uc81c\uac70\ud55c\ub2e4. \ub450 \ubc88\uc9f8 \ud50c\ub808\uc774\uc5b4\uac00 \ub2e4\ud2b8 3\uac1c\ub97c \ub2e4\ud2b8\ud310\uc5d0 \ub358\uc9c4 \ub4a4, \uc810\uc218\ub97c \uacc4\uc0b0\ud55c\ub2e4. \ub192\uc740 \uc810\uc218\ub97c \uc5bb\uc740 \ud50c\ub808\uc774\uc5b4\uac00 \uc774\uae34\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ud50c\ub808\uc774\uc5b4\uc758 \uc810\uc218\ub97c \uacc4\uc0b0\ud55c \ub4a4, \ub204\uac00 \uc774\uae30\ub294\uc9c0\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \ub9cc\uc57d \ub2e4\ud2b8\uac00 \uacbd\uacc4\uc5d0 \uac78\uccd0\uc788\ub2e4\uba74, \ub192\uc740 \uc810\uc218\ub97c \uc5bb\uc740 \uac83\uc774\ub2e4. \ub2e4\ud2b8\uac00 \ub2e4\ud2b8\ud310 \ubc16\uc744 \ub9de\ucd98\ub2e4\uba74, \uc810\uc218\ub97c \uc5bb\uc9c0 \ubabb\ud55c\ub2e4. Double precision floating point \uc5f0\uc0b0\uc744 \uc0ac\uc6a9\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc7ac \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc787\uc758 \uac1c\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud55c \uc904\uc5d0 12\uac1c\uc758 \uc2e4\uc218(double-precision \uac12)\uac00 \uc788\ub2e4. \uac01 \uc30d\uc740 \uc911\uc2ec\uacfc \ub2e4\ud2b8\uc758 \uac70\ub9ac\uc774\uace0, x, y\uac70\ub9ac \uc21c\uc11c\uc774\uace0 \ub2e8\uc704\ub294 cm\uc774\ub2e4. &nbsp;\ucc98\uc74c 3\uac1c\uc758 \uc218\ub294 \uccab \ubc88\uc9f8 \ud50c\ub808\uc774\uc5b4\uac00 \ub358\uc9c4 \ub2e4\ud2b8\uc774\uace0, \ub2e4\uc74c 3\uac1c\ub294 \ub450\ubc88\uc7ac \ud50c\ub808\uc774\uc5b4\uac00 \ub358\uc9c4 \uac83\uc774\ub2e4. (-20.0 &le; X,Y &le; 20.0)<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c, \uac8c\uc784\uc744 \uc774\uae34 \uc0ac\ub78c\uc774 \uc788\ub2e4\uba74 \ub2e4\uc74c\uacfc \uac19\uc740 \ud615\uc2dd\uc73c\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>SCORE: N to M, PLAYER P WINS.<\/p>\r\n\r\n<p>\ub9cc\uc57d, \ube44\uacbc\ub2e4\uba74<\/p>\r\n\r\n<p>SCORE: N to M, TIE.<\/p>\r\n\r\n<p>\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>N\uc740 \uccab \ubc88\uc9f8 \ud50c\ub808\uc774\uc5b4\uc758 \uc810\uc218, M\uc740 \ub450 \ubc88\uc9f8 \ud50c\ub808\uc774\uc5b4\uc758 \uc810\uc218\uc774\uace0, P\ub294 \uac8c\uc784\uc744 \uc2b9\ub9ac\ud55c \uc0ac\ub78c\uc758 \ubc88\ud638 1 \ub610\ub294 2\uc774\ub2e4. \ubaa8\ub4e0 \uac12\uc740 \uc74c\uc774\uc544\ub2cc \uc815\uc218\uc774\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2756","problem_lang":"1","title":"Bullseye","description":"<p>A simple dartboard consists of a flat, circular piece of cork with concentric rings drawn on it. Darts are thrown at the board by players in an attempt to hit the center of the dartboard (the Bullseye). The region between each pair of rings (or the center and the first ring) represents a certain point value. The closer the region is to the center of the dartboard, the more points the region is worth, as shown in the diagram below:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dart.png\" style=\"height:216px; width:249px\" \/><\/p>\r\n\r\n<p>Ring radii are at 3&rdquo;, 6&rdquo;, 9&rdquo;, 12&rdquo; and 15&rdquo; (the Bullseye has a diameter of 6&rdquo;). A game of Simple Darts between two players is played as follows. The first player throws 3 darts at the board. A score is computed by adding up the point values of each region that a dart lands in. The darts are removed. The second player throws 3 darts at the board; the score for player two is computed the same way as it is for player one. The player with the higher score wins.&nbsp;<\/p>\r\n\r\n<p>For this problem, you are to write a program that computes the scores for two players, and determine who, if anyone, wins the game. If a dart lands exactly on a ring (region boundary), the higher point value is awarded. Any dart outside the outer ring receives no points. For the purposes of this problem, you can assume that a dart has an infinitely fine point and can not land paritially on a ring; it is either on the ring or it is not on the ring. Standard double precision floating point operations will be should be used.&nbsp;<\/p>\r\n","input":"<p>Input consists of 1 or more datasets. A dataset is a line with 12 double-precision values separated by spaces. Each pair of values represents the X and Y distances respectively of a dart from the center of the board in inches. (the center is located at X=0, Y=0. The range of values are: -20.0 &lt;= X,Y &lt;= 20.0. Player one&rsquo;s darts are represented by the first 3 pairs of values, and player two&rsquo;s by the last 3 pairs of values. Input is terminated by the first value of a dataset being &ndash;100.<\/p>\r\n","output":"<p>For each dataset, print a line of the form:&nbsp;<\/p>\r\n\r\n<pre>\r\nSCORE: N to M, PLAYER P WINS.<\/pre>\r\n\r\n<p>Or:&nbsp;<\/p>\r\n\r\n<pre>\r\nSCORE: N to M, TIE.<\/pre>\r\n\r\n<p>N is player one&rsquo;s score, and M is player two&rsquo;s score. P is either 1 or 2 depending on which player wins. All values are non-negative integers.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]